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Finding the Third Proportional to 42,688,468,896 and 92,725,603,824

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Solution

The third proportional to 42,688,468,896 and 92,725,603,824 is: 201,413,586,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,688,468,896 : 92,725,603,824 = 92,725,603,824 : x
  2. Step 2: Convert to fraction form
    42,688,468,896/92,725,603,824 = 92,725,603,824/x
  3. Step 3: Cross multiply
    42,688,468,896x = 92,725,603,824 × 92,725,603,824
  4. Step 4: Simplify right side
    42,688,468,896x = 8,598,037,604,525,403,013,120
  5. Step 5: Solve for x
    x = 8,598,037,604,525,403,013,120/42,688,468,896
  6. Step 6: Final answer
    x = 201,413,586,078.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.